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Finding the Third Proportional to 10,233.94 and 15,624.19

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Solution

The third proportional to 10,233.94 and 15,624.19 is: 23,853.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,233.94 : 15,624.19 = 15,624.19 : x
  2. Step 2: Convert to fraction form
    10,233.94/15,624.19 = 15,624.19/x
  3. Step 3: Cross multiply
    10,233.94x = 15,624.19 × 15,624.19
  4. Step 4: Simplify right side
    10,233.94x = 244,115,235.04
  5. Step 5: Solve for x
    x = 244,115,235.04/10,233.94
  6. Step 6: Final answer
    x = 23,853.50

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.